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Finding the Fourth Proportional to 1,569.86, 2,354 and 645.16

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Solution

The fourth proportional to 1,569.86, 2,354 and 645.16 is: 967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.86 : 2,354 = 645.16 : x
  2. Step 2: Convert to fraction form
    1,569.86/2,354 = 645.16/x
  3. Step 3: Cross multiply
    1,569.86x = 2,354 × 645.16
  4. Step 4: Simplify right side
    1,569.86x = 1,518,706.64
  5. Step 5: Solve for x
    x = 1,518,706.64/1,569.86
  6. Step 6: Final answer
    x = 967.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.